Answer:
The amount invested at 4% is $20,500 and the amount invested at 10% is $500
Step-by-step explanation:
Let
x -----> the amount invested at 4%
(21,000 -x) ----> the amount invested at 10%
we know that
The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870
so
Solve for x
therefore
The amount invested at 4% is $20,500 and the amount invested at 10% is $500
Answer: 8/17
Step-by-step explanation: The ratio for tangent is opposite/adjacent. The side opposite from Y has a length of 8, and the side next to it has a length of 15. These are the lengths of the legs of the triangle. To find the sine ratio, you need the hypotenuse.
The hypotenuse can be found using the Pythagorean theorem. 8^2=64 and 15^2=225. 225+64=289. The square root of 289 is 17. The hypotenuse has a length of 17.
The ratio for sine is opposite/hypotenuse. Take the value of the opposite from the tangent ratio (8) and the length of the hypotenuse (17) to get 8/17.
So in numbers : 9n + 6 = 24
or 9n = 24 - 6
or 9n = 18
or n = 18/9
so n = 2
First you would find that not all the units are the same in this problem, so you convert yards to feet. So 4 yards = 12 feet.
The proportion you would make would be x/12 = 2/1
Answer:
1 7/12
Step-by-step explanation:
here you go :)
